SOLUTION: To control the quality of their product, the bright-light company inspects three light bulbs out of each batch of ten bulbs manufactured. If a defective bulb is found, the batch is
Algebra ->
Probability-and-statistics
-> SOLUTION: To control the quality of their product, the bright-light company inspects three light bulbs out of each batch of ten bulbs manufactured. If a defective bulb is found, the batch is
Log On
Question 255892: To control the quality of their product, the bright-light company inspects three light bulbs out of each batch of ten bulbs manufactured. If a defective bulb is found, the batch is discarded. Suppose a batch contains two defective bulbs. What is the probability that the batch will be discarded? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! To control the quality of their product, the bright-light company inspects three light bulbs out of each batch of ten bulbs manufactured.
If a defective bulb is found, the batch is discarded. Suppose a batch contains two defective bulbs. What is the probability that the batch will be discarded?
---------------------------------------------------
P(no defective bulb in set of 3 from 10) = 8C3/10C3 = 56/120
-----
P(you find a defective bulb when you select 3 from 10)
= 1 - p(you find no defective)
= 1- (56/120)
= 64/120
= 8/15
================================================================
Cheers,
Stan H.
(